[go: up one dir, main page]

Search a number
-
+
26738432 = 28743347
BaseRepresentation
bin110010111111…
…1111100000000
31212022110020022
41211333330000
523321112212
62353033012
7443162420
oct145777400
955273208
1026738432
1114102a86
128b55768
135702576
1437a0480
152532772
hex197ff00

26738432 has 72 divisors (see below), whose sum is σ = 62595456. Its totient is φ = 11160576.

The previous prime is 26738431. The next prime is 26738471. The reversal of 26738432 is 23483762.

It is a junction number, because it is equal to n+sod(n) for n = 26738392 and 26738401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26738431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76883 + ... + 77229.

Almost surely, 226738432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31297728).

26738432 is an abundant number, since it is smaller than the sum of its proper divisors (35857024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26738432 is an equidigital number, since it uses as much as digits as its factorization.

26738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 26738432 is about 5170.9217746936. The cubic root of 26738432 is about 299.0280842962.

The spelling of 26738432 in words is "twenty-six million, seven hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 347 448 602 688 694 896 1204 1376 1388 1792 2408 2429 2752 2776 4816 4858 5504 5552 9632 9716 11008 11104 14921 19264 19432 22208 29842 38528 38864 44416 59684 77056 77728 88832 104447 119368 155456 208894 238736 310912 417788 477472 621824 835576 954944 1671152 1909888 3342304 3819776 6684608 13369216 26738432